Answer:
-7/12
Step-by-step explanation:
-3/4+1/6
-9/12+2/12
-7/12
The general solution, y(t), which solves the problem by the method of integrating factors is; y = ¹/₂₁t⁴ + (1/t)c₁t^(⁴/₅)
<h3>How to solve differential equations?</h3>
We want to find the general solution of;
5t(dy/dt) + y = t⁴
We will divide through by 5t to get;
(dy/dt) + y/5t = t³/6
Using Integration factor, we have;
u(t) = e^∫(¹/₅t) dt = t^(¹/₅)
Thus, we now have;
[t^(¹/₅)](dy/dt) + [t^(¹/₅)]y/5t = [t^(¹/₅)]t³/6
Completing this with a differential calculator gives us the general solution as;
y = ¹/₂₁t⁴ + (1/t)c₁t^(⁴/₅)
Read more about differential equations at; brainly.com/question/17201048
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Answer:
im pretty sure the ones that say "if not replaced" are independant, sorry if im wrong but im trying to help you out :)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Represent the sofa with S and the love seat with L.
So, we have:
--- Total Cost
Required
Determine the value of L
Substitute 2L for S in the first equation.
Divide both sides by 3
<em>Hence, a love seat costs 117.0</em>
<em></em>
<u>Using Graph</u>
See attachment for graph
S is plotted on the y-axis and L is on the x-axis.
The green line represents while the orange line represents
When the line of the graph is traced to the x-axis, we have:
